Question

a punter kicks a football at an angle of 30 above the horizontal .The football lands 86.9 m from the point it was kicked 3.20 s later.What is the launch speed of the football?What is the maximum height reached by the football

Answer 1

$range = \frac{ {u}^{2} \sin(2 \alpha ) }{g}$
$86.9 = \frac{ {u}^{2} \sin(60) }{10}$
$u = 31.6mps$
$h = \frac{ {u}^{2} { \sin }^{2} \alpha }{2g}$
$h = \frac{ {1003} \times \frac{3}{4} }{20}$
$h = 37.6 \: meters$
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